Question

In a quadrilateral ABCD,side AD is parallel to side BC.if angle A : angleB = 2 : 3 and angle C : angle D = 4 : 5 , find each angle of quadrilateral ABCD.​

Answer 1

Answer:

72∘, 108∘, 100∘, 80∘

Step-by-step explanation:

Thq quadrilateral formed will be a parallelogram.

The property states that adjacent sides of a parallelogram are supplementary.

∠A : ∠B = 2 : 3,

let the angle be taken as x

2x + 3x = 180

5x = 180

x = 180/5 = 36 degree

substitute the values - ∠A = 2x = 2(36) = 72 ; ∠B = 3x = 3(36) = 108

and the same applies for ∠C & ∠D

angles of the quadrilateral = 36∘, 108∘, 80∘, 100∘